Trigonal Curve with Trigonal Deformation of Maximal Rank
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908628949139456 |
|---|---|
| author | Zhang, Jiacheng |
| author_facet | Zhang, Jiacheng |
| contents | By extending methods of Favale-Pirola arXiv:2108.02157 and González-Alonso-Torelli arXiv:2402.15158 to toric surfaces via toric Jacobian ring, we are able to show there exists trigonal curve with trigonal deformation of rank $g$ for $g=5,7,9,11,13,15$ by giving an explicit example. Also, we give a computable criterion to determine whether a nondegenerate ample section of toric surface has first order deformation of rank $g$ within the linear system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trigonal Curve with Trigonal Deformation of Maximal Rank Zhang, Jiacheng Algebraic Geometry Primary 14H15, Secondary 14M25 By extending methods of Favale-Pirola arXiv:2108.02157 and González-Alonso-Torelli arXiv:2402.15158 to toric surfaces via toric Jacobian ring, we are able to show there exists trigonal curve with trigonal deformation of rank $g$ for $g=5,7,9,11,13,15$ by giving an explicit example. Also, we give a computable criterion to determine whether a nondegenerate ample section of toric surface has first order deformation of rank $g$ within the linear system. |
| title | Trigonal Curve with Trigonal Deformation of Maximal Rank |
| topic | Algebraic Geometry Primary 14H15, Secondary 14M25 |
| url | https://arxiv.org/abs/2506.11450 |